Jade spent $84 on some pens, pencils and notebooks. The number of pens she bought was ¹₄ the number of pencils. The number of notebooks she bought was ²₅ the number of pencils. The ratio of the amount of money she spent on the pens, pencils and notebooks was 9 : 8 : 4. The pencils were sold at 5 for $8. Find the price of 1 pen.

Amount spent
Pens	Pencils	Notebooks	Total
9 u	8 u	4 u	$84

Total amount that Jade spent on pens, pencils and notebooks
= 9 u + 8 u + 4 u
= 21 u

21 u = 84

1 u = 84 ÷ 21 = 4

Amount that Jade spent on pencils
= 8 u
= 8 x 4
= $32

Number of sets of pencils of 5 bought
= 32 ÷ 8
= 4

Number of pencils that Jade bought
= 4 x 5
= 20

Number of items bought
Pens	Pencils	Notebooks	Total
1x5	4x5
	5x4	2x4
5 p	20 p	8 p	33 p

The number of pencils bought is repeated.  Make the number of pencils bought is the same.  LCM of 4 and 5 is 20.

Number of pencils that Jade bought = 20 p

20 p = 20

1 p = 20 ÷ 20 = 1

Number of pens that Jade bought
= 5 p
= 5 x 1
= 5

Amount that Jade spent on pens
= 9 u
= 9 x 4
= $36

Price of 1 pen
= 36 ÷ 5
= $7.20

Answer(s): $7.20